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- W4295727144 abstract "We define ranks and degrees for families of theories, similar to Morley rank and degree, as well as Cantor-Bendixson rank and degree, and the notion of totally transcendental family of theories. Bounds for $e$-spectra with respect to ranks and degrees are found. It is shown that the ranks and the degrees are preserved under $E$-closures and values for the ranks and the degrees are characterized. Criteria for totally transcendental families in terms of cardinality of $E$-closure and of the $e$-spectrum value, for a countable language, are proved." @default.
- W4295727144 created "2022-09-14" @default.
- W4295727144 creator A5009035630 @default.
- W4295727144 date "2019-01-24" @default.
- W4295727144 modified "2023-10-14" @default.
- W4295727144 title "Ranks for families of theories and their spectra" @default.
- W4295727144 doi "https://doi.org/10.48550/arxiv.1901.08464" @default.
- W4295727144 hasPublicationYear "2019" @default.
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